"""simple docstring"""



class  snake_case__      :


 def __init__( self						):
        __a       =    {}


 def 						a__   ( self						):
        print(self.vertex						)
        for i in self.vertex:
               print(lowerCamelCase    ,		" -> "    ,		" -> ".join([str(lowerCamelCase						) for j in self.vertex[i]]						)						)


 def 						a__   ( self    ,		lowerCamelCase    ,		lowerCamelCase						):
        # check if vertex is already present,
        if from_vertex in self.vertex:
               self.vertex[from_vertex].append(lowerCamelCase						)
        else:
               # else make a new vertex
               __a       =    [to_vertex]


 def 						a__   ( self						):
        # visited array for storing already visited nodes
        __a       =    [False] * len(self.vertex						)

        # call the recursive helper function
        for i in range(len(self.vertex						)						):
               if not visited[i]:
                      self.dfs_recursive(lowerCamelCase    ,		lowerCamelCase						)






 def 						a__   ( self    ,		lowerCamelCase    ,		lowerCamelCase						):
        # mark start vertex as visited
        __a       =    True

        print(lowerCamelCase    ,		end=" "						)

        # Recur for all the vertices that are adjacent to this node
        for i in self.vertex:
               if not visited[i]:
                      self.dfs_recursive(lowerCamelCase    ,		lowerCamelCase						)


if __name__ == "__main__":
   SCREAMING_SNAKE_CASE__:List[str]									=			Graph()
   g.add_edge(0, 1)
   g.add_edge(0, 2)
   g.add_edge(1, 2)
   g.add_edge(2, 0)
   g.add_edge(2, 3)
   g.add_edge(3, 3)

   g.print_graph()
   print("""DFS:""")
   g.dfs()

   # OUTPUT:
   # 0  ->  1 -> 2
   # 1  ->  2
   # 2  ->  0 -> 3
   # 3  ->  3
   # DFS:
   #  0 1 2 3

"""simple docstring"""



from __future__ import annotations

import math



def 	_lowerCamelCase(	a   ,    a				):
       __a       =    u
       for i in range(1   ,    a				):
              __a       =    temp * (u - i)
       return temp



def 	_lowerCamelCase(	):
       __a       =    int(input("enter the numbers of values: "				)				)
       __a       =    []
       for _ in range(a				):
              y.append([]				)
       for i in range(a				):
              for j in range(a				):
                     y[i].append(a				)
                     __a       =    0

       print("enter the values of parameters in a list: "				)
       __a       =    list(map(a   ,    input().split()				)				)

       print("enter the values of corresponding parameters: "				)
       for i in range(a				):
              __a       =    float(input()				)

       __a       =    int(input("enter the value to interpolate: "				)				)
       __a       =    (value - x[0]) / (x[1] - x[0])

       # for calculating forward difference table

       for i in range(1   ,    a				):
              for j in range(n - i				):
                     __a       =    y[j + 1][i - 1] - y[j][i - 1]

       __a       =    y[0][0]
       for i in range(1   ,    a				):
              summ += (ucal(a   ,    a				) * y[0][i]) / math.factorial(a				)

       print(F"the value at {value} is {summ}"				)


if __name__ == "__main__":
   main()
